[1] H. Ryu, N. Luco, S. Uma, A. Liel, Developing fragilities for mainshock-damaged structures through incremental dynamic analysis, in: Ninth pacific conference on earthquake engineering, Auckland, New Zealand, 2011.
[2] Y. Dong, D.M. Frangopol, Risk and resilience assessment of bridges under mainshock and aftershocks incorporating uncertainties, Engineering Structures, 83 (2015) 198-208.
[3] K. Goda, Nonlinear response potential of mainshock–aftershock sequences from Japanese earthquakes, Bulletin of the Seismological Society of America, 102(5) (2012) 2139-2156.
[4] R. Song, Y. Li, J.W. van de Lindt, Impact of earthquake ground motion characteristics on collapse risk of post-mainshock buildings considering aftershocks, Engineering Structures, 81 (2014) 349-361.
[5] G.P. Hayes, P.S. Earle, H.M. Benz, D.J. Wald, R.W. Briggs, 88 Hours: The US Geological Survey national earthquake information center response to the 11 March 2011 Mw 9.0 Tohoku earthquake, Seismological Research Letters, 82(4)(2011) 1-11.
[6] R. Song, Y. Li, J.W. Van de Lindt, Loss estimation of steel buildings to earthquake mainshock–aftershock sequences, Structural safety, 61 (2016) 1-11.
[7] F. Omori, On the after-shocks of earthquakes, The University, 1894.
[8] S.A. Mahin, Effects of duration and aftershocks on inelastic design earthquakes, in: Proceedings of the 7th world conference on earthquake engineering, 1980, pp. 677-680.
[9] C. Amadio, M. Fragiacomo, S. Rajgelj, The effects of repeated earthquake ground motions on the nonālinear response of SDOF systems, Earthquake engineering & structural dynamics, 32(2) (2003) 291-308.
[10] G.D. Hatzigeorgiou, Ductility demand spectra for multiple near-and far-fault earthquakes, Soil Dynamics and Earthquake Engineering, 30(4) (2010) 170-183.
[11] Y. Li, R. Song, J.W. Van De Lindt, Collapse fragility of steel structures subjected to earthquake mainshockaftershock sequences, Journal of Structural Engineering, 140(12) (2014) 04014095.
[12] M. Malakoutian, J.W. Berman, P. Dusicka, Seismic response evaluation of the linked column frame system, Earthquake engineering & structural dynamics, 42(6) (2013) 795-814.
[13] D.G. Lignos, H. Krawinkler, Deterioration modeling of steel components in support of collapse prediction of steel moment frames under earthquake loading, Journal of Structural Engineering, 137(11) (2011) 1291-1302.
[14] G.G. Amiri, F.M. Dana, Introduction of the most suitable parameter for selection of critical earthquake, Computers & Structures, 83(8-9) (2005) 613-626.
[15] G.G. Amiri, E. Rajabi, Damage evaluation of reinforced concrete and steel frames under critical successive scenarios, International Journal of Steel Structures,17(4)(2017) 1495-1514 .